Enviar artigo por via de e-mail SUPERPOSITION OF TWO NONSTEADY ONE-DIMENSIONAL SHEARS IN A PLANE VISCOUS LAYER
- Autores: Georgievskii D.V.1,2
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Afiliações:
- Lomonosov Moscow State University
- Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences
- Edição: Volume 524, Nº 1 (2025)
- Páginas: 59-62
- Seção: МЕХАНИКА
- URL: https://journal-vniispk.ru/2686-7400/article/view/356213
- DOI: https://doi.org/10.7868/S3034508125050092
- ID: 356213
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Resumo
The stability of the unsteady flow of a Newtonian viscous medium, which is a superposition of two one-dimensional orthogonal shears in a layer between parallel planes, relative to the three-dimensional picture of kinematic perturbations, is investigated. Using the method of integral relations, sufficient integral estimates of the development of initial disturbances and their non-growth over an infinite time interval are derived. The cases of stationary main motion, acceleration and deceleration in different directions are considered.
Sobre autores
D. Georgievskii
Lomonosov Moscow State University; Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences
Email: georgiev@mech.math.msu.su
Moscow, Russia
Bibliografia
- Georgievskii D.V. Sufficient energy estimates of stability of unsteady combined shear flows in a cylindrical layer // Izv. RAN. MZhG. 2024. № 6. P. 51–59.
- Kozyrev O.R., Stepanyan Yu.A. Method of integral relations in the linear theory of hydrodynamic stability // Itogi nauki i tekhniki. Ser. Mekhanika zhidkosti i gaza. M.: VINITI, 1991. V. 25. P. 3–89.
- Georgievskii D.V. Selected problems of continuum mechanics. 2nd ed. M.: URSS, 2020. 560 p.
- Georgievskii D.V., Putkaradze V.G. Energy-based stability estimates for incompressible media with tensor-nonlinear constitutive relations // Continuum Mechanics and Thermodynamics. 2023. V. 35. № 4. P. 1403–1415.
- Martynyuk A.A., Lakimshkin V., Lila S. Stability of motion: method of integral inequalities. Kiev: Nauk. dumka, 1989. 272 p.
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